A322184 List of primes that appear in the 3 X 3 matrices A, B, C which are the smallest solution to the matrix equation AB = C in square matrices composed of distinct primes.

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 1549, 1553, 1619, 1741, 1759, 2053, 2083, 2129, 2437

Offset: 1

Author

Mark Stander, Nov 30 2018

Keywords

• nonn
• fini
• full

Comments

Found using computation. The solution is smallest by total sum.

Examples

			Solution to AB = C:
A = {{3, 29, 19}, {7, 17, 11}, {5, 13, 23}};
B = {{67, 61, 59}, {37, 43, 47}, {41, 53, 31}};
C = {{2053, 2437, 2129}, {1549, 1741, 1553}, {1759, 2083, 1619}}.
		

Links

• Mark Stander, The Smallest Solution to AB = C, Where A, B, and C are Square Matrices Composed of Distinct Primes, The American Mathematical Monthly, 125 (2018), 754-754.